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# Title: [Johannis Wallis S. T. D. Geometriae Professoris Saviliani, in Celeberrima Academia Oxoniensi, De Algebra Tractatus; Historicus & Practicus. Anno 1685 Anglice editus; Nunc Auctus Latine. Cum variis Appendicibus; Partim prius editis Anglice, Partim nunc primum editis] Johannis Wallis S. T. D. Geometriæ Professoris Saviliani, in Celeberrima Academia Oxoniensi, De Algebra Tractatus; Historicus & Practicus. Anno 1685 Anglice editus; Nunc Auctus Latine. Cum variis Appendicibus; Partim prius editis Anglice, Partim nunc primum editis (shelfmarks Leibn. Marg. 100:1/2, Stück 2; Leibn. Marg. 100:1/2)
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E C Y 1O N I B U S C ap. I
27. Aquatione proposica in harum utravis Forma, Ag9 - V 9A g = V gF. 9
=P99 = V gP g: cerminus absolurus (VgE 4) Der Co etticien  cer-
mini (V9) divisus, extribet F. q: Eujus Radix quadratica (F.) si perpendicularis
Eiltatur extremo recta qua aequalis sic (V) laceri quadratieo Co etticientis; quae
diameter esto ejus circuli quem cangie ea perpendicularis: Eodem Centro cum hoc
circulo, ee super eandem Diametrum continuaram, deseribatur, per verricem isti-
us perpendicularis, circulus secundus. Diameter hujus secundi Cireuli, secatur
ab ea perpendiculari (P.) in duo sexmenta; quae sunt Radices (atirmacirae) ha.
rum Aquacionum. Nimirum V = (7, ec V + V = 27
28. Vel (omilta de seripeione secundi cirenli) a Vertice perpendicularis, in re-
cta per centrum primi, quae circumferentiam ejus sccabie in duobus punctis; ad
propiorem sectionem cAV = =; ad remoriorem, V f V - 33
20. Tlae dux Radices inter se multiplicatae, aequabune absolucum cerminum
AgP9
==R 9. Ec ductae in V, Fune Ag P 4. Vel Sic; P est media provorrio.
nalis incer V A V; d A, incer V, et V F V. Vel sic; P est media proporriona.
lis incer V et V = 22; et (propier A9 = P 4 F V ∞525, ) A es Hy porenula
in Friangulo rectangulo ad crura P, V. FAtque haec methodus non contemmenda,
Deo Solutione Squationis Duadraticae ex radice Plana, cujus supremus terminus
est Affirmatious. Toca constructio Geometrica, Pacis paret ex Fisuris apposicis. In
quibus tamen Cireusi (ut plurimum) Demonstrationi pocius inserviunr quam sunt
Constructioni necectarii.
30. POrTO. FR (per 525) Eg = =72 f Pg = Vg + Pg. EL A9 = P9L Y9.
EreO A ec P. sunc Crura irianguli rectanguli, cujus Hyporenula sit V L V; quam
in haec lesmenca dirimit P in eam perpendicularis.
3F. Ab eadem ergo constructione, habemus Geometricam Constructionem hujus
Problematis; In trianeulo rectaneulo, datis crurum altero P, e hypotenusae ses
mento remotiore V; invenire reliquum scementum V. FC (H id pOErO eXISAtUIE,
zocam V + V, e perpendicularem P,  erus reliquum A, tocumque P riaveu-
Tum.
32. Hlabemus inde etiam hanc analogiam; V. P:: A (= V: P9 F V 9: ). F.
FC V. A:: PC
EV: A9 - V9:). F. Vet SC; Vg. P9:: Pg = V9. E.9. Ft
Vg. Ag:: A9- Y g. F. 4.
33. Freo; Si tiat V radius cireuli; erit A LeCaNS, P tan-
Sens, _e P parallela sinui recto (in contraria policione) ab
extremo tangentis ad diametrum productam. Si tat A Pa-
dius; cum exie P sinus rectus de L. tansens ejuldem areus:
e V sinus complemenii, seu disserencia inter ractum et Ci
num vectum. Esinc ergO,
34. Datis ransente E, 5 sinu complementi Y; Babetur sinus rectus P, B. ra-
dius A. Sed 525 et quae inde huc ulque habenuir, lunc Digcellio.
Si